3 papers
math.AT2021
The Tautness Property of Homology Theory
Anzor Beridze, Leonard Mdzinarishvili
The tautness for a cohomology theory is formulated and studied by various authors. However, the analogous property is not considered for a homology theory. In this paper, we will d…
math.AT2021
On Axiomatic Characterization of Alexander-Spanier Normal Homology Theory of General Topological Spaces
Vladimer Baladze, Anzor Beridze, Leonard Mdzinarishvili
The Alexandroff-Čech normal cohomology theory [Mor], [Bar], [Ba],[Ba] is the unique continuous extension \cite{Wat} of the additive cohomology theory [Mil], [Ber-Mdz$_1…
math.AT2019
On the Axiomatic Systems of Singular Cohomology Theory
Anzor Beridze, Leonard Mdzinarishvili
On the category of pairs of topological spaces having a homotopy type of complexes the singular (co)homology theory was axiomatically studied by J.Milnor. In particular, Milno…